كويز تفاعلي: اختبار الرياضيات ريفيل الوحدة العاشرة

يتناول هذا الاختبار مفاهيم الإحصاء والاستدلال الرياضي من خلال دراسة العينات العشوائية وأنواعها مثل العينة العشوائية البسيطة والمنتظمة. كما يتطرق الاختبار إلى تحليل البيانات باستخدام الرسوم البيانية كالمخططات النقطية (Dot Plots) ومخططات الصندوق والشاربين (Box Plots)، وكيفية حساب مقاييس النزعة المركزية مثل الوسيط والمتوسط الحسابي، ومقاييس التشتت مثل المدى والانحراف المتوسط المطلق (MAD). تهدف هذه الأسئلة إلى تطوير قدرة الطالب على التنبؤ بنتائج المجتمع بناءً على بيانات العينات ومقارنة مجموعات البيانات المختلفة.

Question 1

Points: 1

To determine whether students think a new school library is needed, a computer generates a list of 100 random students and they are surveyed. Which method is used?

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Question 2

Points: 1

A member of the cafeteria staff asks every fifth student leaving the cafeteria to rank 5 entrees. She finds pizza is a favorite. Is this a valid sampling method?

Question 3

Points: 1

20 people leaving a restaurant are surveyed at random; 8 say they usually order dessert. What percent say they usually do NOT order dessert?

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Question 4

Points: 1

A school librarian surveys 25 students. predict how many science fiction books she will need to purchase if 125 students participate in book club next year.

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Question 5

Points: 1

If a school district has 5,000 middle school students next year, about how many plan to buy lunch 1-2 days a week based on the pie chart (37%)?

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Question 6

Points: 1

Of 240 checked boxes of crayons, 2 did not pass inspection. How many boxes out of 12,000 should the crayon company expect to not pass inspection?

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Question 7

Points: 1

The dot plot in the first image displays data from 14 random samples. Each dot represents the mean number of sports played per year by students in that sample. Which number best represents the mean number of sports played by middle school students overall?

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Question 8

Points: 1

Find and interpret the variability in the distribution based on the range of the sample means.

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Question 9

Points: 1

A student examines the dot plot below, which shows the "Means of Samples." The student states that the plot contains samples of size 30. Find the student's mistake and choose the correct correction.

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Question 10

Points: 1

A student claims that if 50% of data is below the median and 50% is above, the data must be symmetric. What is the student's error?

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Question 11

Points: 1

Based on the box plots for City A and City B:
- City A: Median = 6 days.
- City B: Median = 5 days.
For which city is it more likely that a randomly selected month will have 6 or more rainy days?

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Question 12

Points: 1

Based on the double dot plot showing weights in pounds:
- Housecats: Range 9-13 lbs, Median at 11 lbs.
- Small Dogs: Range 6-12 lbs, Median at 9 lbs.
Which of the following is a correct inference about the data?

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Question 13

Points: 1

The double dot plot shows sample weights of two breeds of dogs (Beagle and Dachshund). The table provides the Mean and Mean Absolute Deviation (MAD) for each breed:
- Beagle Mean: 20.5 lb, MAD: 1.36
- Dachshund Mean: 26.5 lb, MAD: 1.36
How many measures of variability separate the means of the samples?

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Question 14

Points: 1

A graph shows the mean of 15 random samples of 20 students each. What is the best estimate of the mean number of hours spent per night doing homework of the population?

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Question 15

Points: 1

A grocery store conducts a random survey of its customers and finds that 78% would sign up for a rewards program if it were offered. If the rewards program is rolled out this weekend and there are 1,550 customers, how many of them would you expect to sign up for the program?

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